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Extension of the Stokes equation for layered constructions to fluorescent turbid media

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Abstract

Expressions relating the bispectral reflectance of a stack of n fluorescing layers to each individual layer’s reflectance and transmittance are derived. This theoretical framework is used together with recently proposed extensions of the Kubelka–Munk model to study the fluorescence from layered turbid media. For one layer over a reflecting background, the model is shown to give the same results as a previous model. The extension to n layers with different optical properties allows simulating the bispectral reflectance from a pad of layered turbid media. The applicability of the model is exemplified with an optimization of fluorophore distribution in layered turbid media.

©2012 Optical Society of America

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